1. Nov 18, 2012

### 11thHeaven

1. The problem statement, all variables and given/known data

Electrons (mass m, charge –e) are accelerated from rest through a potential difference V and are then deflected by a magnetic field B that is perpendicular to their velocity. Find the radius of the resulting electron trajectory.

2. Relevant equations
$$F=\dfrac{mv^2}{r}$$ $$F=qvB$$

3. The attempt at a solution

I don't know where to start with this. The electron moves through the potential difference, and presumably gains kinetic energy, but I don't know how to express this in the equations above to get an answer.

Help appreciated.

2. Nov 18, 2012

### grzz

I am assuming that the e is accelerated through a gap across which there is a potential difference V. What is the width of the gap?

3. Nov 18, 2012

### 11thHeaven

That's all the info I'm given; I've literally copied and pasted the question.

I'm not being asked to give a numerical answer though. It's a multiple choice question, and this is apparantly the answer:

$$\frac{\sqrt{2mV/e}}{B}$$

4. Nov 18, 2012

### grzz

The p.d. gives an energy of Ve to the electron.

From this one can find the resulting velocity of the electron.

5. Nov 18, 2012

### 11thHeaven

Aha! Got it. Thanks for the help :)